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Area Between Polar Curves
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Expression 12: alpha Subscript, 0 , Baseline equals 0
α
0
=
0
0
0
2 pi
2
π
12
Expression 13: alpha Subscript, 1 , Baseline equals 0.2 6 1 7 9 9 3 8 7 7 9 9 1 4 9 4
α
1
=
0
.
2
6
1
7
9
9
3
8
7
7
9
9
1
4
9
4
0
0
2 pi
2
π
13
These are your range of angles for the blue area. (Note: If you can not find bounds that shade in the correct sections then try to shade in a portion of the section and use n_2 to scale the number of shaded sections) **Step size is pi/12**
These are your range of angles for the blue area. (Note: If you can not find bounds that shade in the correct sections then try to shade in a portion of the section and use n_2 to scale the number of shaded sections) **Step size is pi/12**
14
Expression 15: beta Subscript, 0 , Baseline equals 0.2 6 1 7 9 9 3 8 7 7 9 9 1 4 9 4
β
0
=
0
.
2
6
1
7
9
9
3
8
7
7
9
9
1
4
9
4
0
0
2 pi
2
π
15
Expression 16: beta Subscript, 1 , Baseline equals 1.3 0 8 9 9 6 9 3 8 9 9 5 7 4 7 2
β
1
=
1
.
3
0
8
9
9
6
9
3
8
9
9
5
7
4
7
2
0
0
2 pi
2
π
16
These following folders contain all the fun work
These following folders contain all the fun work
17
Conversion to Polar
Conversion to Polar
Hide this folder from students.
18
Alpha_0
Alpha_0
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21
Alpha_1
Alpha_1
Hide this folder from students.
29
Beta_0
Beta_0
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37
Beta_1
Beta_1
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45
Alpha Shading
Alpha Shading
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53
Beta Shading
Beta Shading
Hide this folder from students.
56
59
powered by
powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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